Higher Order Corrections to the Trilinear Higgs Self-Couplings in the\n Real NMSSM

After the discovery of a Higgs-like boson by the LHC experiments ATLAS and\nCMS, it is of crucial importance to determine its properties in order to not\nonly identify it as the boson responsible for electroweak symmetry breaking but\nalso to clarify the question if it is a Standard Model (SM) Higgs boson or the\nHiggs particle of some extension beyond the SM as {\\it e.g.} supersymmetry. In\nthis context, the precise prediction of the Higgs parameters as masses and\ncouplings play a crucial role for the proper distinction between different\nmodels. In extension of previous works on the loop-corrected Higgs boson masses\nof the Next-to-Minimal Supersymmetric Extension of the SM (NMSSM), we present\nhere the calculation of the loop-corrected trilinear NMSSM Higgs\nself-couplings. The loop corrections turn out to have a substantial impact on\nthe decay widths of Higgs-to-Higgs decays and on the production cross section\nof Higgs pairs via gluon fusion. They are therefore indispensable for the\ncorrect interpretation of the experimental Higgs results.\n